Investigation of the Early Time Resonance Region Scattering Problem.
Final rept. 1 Sep 84-30 Apr 86,
GENERAL RESEARCH CORP SANTA BARBARA CA ADVANCED TECHNOLOGIES DIV
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In addition to the pole series in the singularity expansion of a scatterers response a possible entire function contribution has been customarily included although considerable uncertainty surrounds the role of this reponse component. Entire functions are frequently found in the responses of circuits where they represent forced components. The results of this investigation indicate that in certain extreme system configurations, like circuits, the forced response to a time-limited excitation is an entire function. In certain less extreme configurations, like most scatterers, the forced response takes the form of a quasi-entire function which is composed of highly-damped pole contributions. We demonstrate that true entire functions themselves can be represented by infinite pole series whose poles have become infinitely-damped. For many scatterers two groups of poles can be distinguished the dominant poles and the highly-damped poles whose contributions comprise a quasi-entire function. The numerically-derived quasi-entire function components of a conducting sphere-capped cylinder and a conducting loop are determined by subtracting the dominant pole series from the total responses of these scatterers.
- Active and Passive Radar Detection and Equipment
- Electromagnetic Pulses